Hilbert curve fractal, order 4 SVG
Which one? SVG for Cricut and lasers, DXF for the free Silhouette Studio, PNG to print.
Free for personal and commercial use, no sign-up. What you can do with it.
One line that visits every cell of a 16 by 16 grid and never crosses itself. Each order is four half-size copies of the last, the first and last turned to face inwards, joined by three steps. 255 steps, line half a step wide.
What is in the file
| Size | 100 × 100 mm (3.94 × 3.94 in), scales to any size |
|---|---|
| Pieces | One piece: it holds together when cut |
| Outlines to cut | 1 outline |
| Cut length | 3,303 mm at this size |
| Narrowest part | 3.3 mm at this size |
| Nodes | 412 curve and line segments |
Measured from the file. PNG: 2,000 × 2,000 pixels, transparent. About the three file types.
How fine is it at your size?
Scaling a design scales its finest detail too. Here is this one at seven sizes, from 1 to 12 inches on its longer side, with how many copies fit a 12 × 12 inch sheet or mat.
| Size, width × height | Narrowest part | Cut length | Fit on a 12 in sheet | Rule of thumb |
|---|---|---|---|---|
| 1 × 1 in (25 × 25 mm) | 0.84 mm | 839 mm | 100 | Fine detail: vinyl and paper only, weed with care |
| 2 × 2 in (51 × 51 mm) | 1.7 mm | 1,678 mm | 25 | Vinyl, card and thin sheet |
| 3 × 3 in (76 × 76 mm) | 2.5 mm | 2,517 mm | 9 | Vinyl, card and thin sheet |
| 4 × 4 in (102 × 102 mm) | 3.4 mm | 3,356 mm | 4 | Any material, including 3 mm wood and acrylic |
| 6 × 6 in (152 × 152 mm) | 5 mm | 5,034 mm | 1 | Any material, including 3 mm wood and acrylic |
| 8 × 8 in (203 × 203 mm) | 6.7 mm | 6,712 mm | 1 | Any material, including 3 mm wood and acrylic |
| 12 × 12 in (305 × 305 mm) | 10 mm | 10,068 mm | 1 | Any material, including 3 mm wood and acrylic |
The narrowest part is the finest detail in the pattern. Below about half a millimetre it is too small to cut and may fill in when printed. How to open the file in Cricut, Silhouette and laser software.
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